1. Lesson #1
Place Value

2. Numbers are Important! NUMERAL
The name or symbol used to represent a number (#) is called a
Why do we need numbers?
NUMERAL

3. Review: Ways of Comparing Numbers
You can list them in increasing or decreasing order
Plan them on a number line
Or use the > (greater than) or < (less than) symbols

4. Place Value: Each digit has a certain place value
Each place has a value of 10 times the place directly to its right

5. Place Values (before decimal)

6. Place Values (after decimal)

7. Face Value vs. Place Value
Face Value tells you how many ones, tens, or hundredths there are.
Face value is the actual value of the digit.
In the number 475, the "7" has a face value of 7.
Place value is what the digit represents IN ITS PLACE.
In the number 475, the "7" is in the tens place, so the place value is 70

8. Standard Form
The full number
The way you “normally” write a number

9. Expanded Form 500 40 3 So 543 in expanded form
Writing a number showing the total place value of each digit
Example: 543
Placing the # into the Place Value Chart:
From the chart we see
100 x 5 = 500
10 x 4 = 40
1 x 3 = 3
Hundreds
(100s)
Tens
(10s)
Ones
(1s)
500 40 3
So 543 in expanded form
5 x x x 1

10. Expanded Form with Decimals
Example: 48.25
Placing the # into the Place Value Chart:
From the chart we see
40 x 10 = 40
8 x 1 = 8
2 x 0.1 = 0.2
5 x 0.01 = 0.05
Tens
(10)
Ones
(1)
DECIMAL
Tenths
(0.1)
Hundredths
(0.01) 40 8 . 2 5
So in expanded form
4 x x x x 0.01

11. Expanded Form: Practice
Complete the expanded form of the following numbers:
1) 384 = _______ + 8 x 10 + _______
2) 6257 = 6 x ______ + ______ + ______
3) 37 = 10 x 3 + ________
4) 4826 = ________ x 8 + _______ + _____
5) = ______ + _______ + ______ + ______
3 x x x 1
6x x x10 + 7x1
3 x x1
4x x x10 + 6x1
2x x10 +9x1 + 2 x 0.1

12. Standard & Expanded Form: Practice
What is the standard form of these expanded form numbers:
1) =
2) =
3) 1000 x x x 3 =
4) 100 x x x 5 =
843
20 649
4 503
908.5

13. < less than > greater than
For your notecard:
PLACE VALUE & FORMS
Thousands
Hundreds
Tens
Ones/Units
DECIMAL POINT
Tenths
Hundredths
Thousandths
Standard form is how a number is normally written (543)
Expanded form shows each place value 543 = 5 x x x 1
48.25 = 4 x x x x 0.01
< less than > greater than

14. Homework! 
Complete the following questions in your workbook (this is a review of basic operations involving numbers)
p. 1, #1-3
p. 2 #4, 5, 8
p. 3 #9 + 10
p. 4 #11 (try the challenge question #13)
p. 5 #1-2
p. 6 #3-4